Zhixiang Wu

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20242026

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math.NT2026

Locally analytic vectors in the completed cohomology of quaternionic Shimura curves

Zhenghui Li, Benchao Su, Zhixiang Wu

We use the methods introduced by Lue Pan to study the locally analytic vectors of the completed cohomology of Shimura curves associated to an indefinite quaternion algebra $D$ whic…

math.NT2024

Geometric translations of $(φ, Γ)$ -modules for $GL_{2} (Q_{p})$

Zhixiang Wu

We study ``change of weights'' maps between loci of the stack of $(φ, Γ)$ -modules over the Robba ring with integral Hodge-Tate-Sen weights. We show that in the $\mathrm{GL}_2(\mathb…

Locally analytic vectors in the completed cohomology of quaternionic Shimura curves

Geometric translations of (φ,Γ)-modules for GL2​(Qp​)

Geometric translations of $(φ, Γ)$ -modules for $GL_{2} (Q_{p})$